arXiv subjects

Ali Olaikhan

Publications and source records attributed to Ali Olaikhan.

2 recordsLinked to original sources

arXiv2026

Explicit Evaluations of Euler Sums Involving Harmonic Numbers with Rational Arguments

This paper derives closed-form expressions for four-parameter Euler sums containing generalized harmonic numbers with rational arguments, expressed in terms of the polylogarithm and Lerch transcendent, and reducible (under admissible parameter choices) to Riemann zeta and Hurwitz zeta values. It further obtains closed forms for related polylogarithmic integrals.

math.GM↗

arXiv2025

Explicit Formulas For Generalized Polylogarithmic Integrals, Euler Sums, And BBP-Type Series

This paper explores closed-form expressions for some polylogarithm integrals with integrands containing five parameters. These closed form expressions are given in terms of the Lerch transcendent function, which reduces, in some cases, to well-known special functions, such as the Riemann zeta, Dirichlet eta, Dirichlet beta, the Hurwitz zeta, and the polygamma functions. Related Euler sums and BBP-type series will also be discussed.

math.CA↗